Answer:
Let the radius of the circle be r cm. Circumference of the circle \[=\text{31}.\text{4 cm}\] Given \[\Rightarrow \] \[2\pi r=31.4\] \[\Rightarrow \] \[2\times 3.14\times r=31.4\] \[\Rightarrow \] \[r=\frac{31.4}{2\times 3.14}=\text{5cm}\] Area of the circle \[=\pi {{r}^{2}}\] \[\text{= 3}\text{.14 }\!\!\times\!\!\text{ }{{\text{5}}^{\text{2}}}\text{c}{{\text{m}}^{\text{2}}}\] \[\text{= 3}\text{.14 }\!\!\times\!\!\text{ 25 c}{{\text{m}}^{\text{2}}}\] \[\text{=78}\text{.5 c}{{\text{m}}^{2}}\]
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